Find the points on the curve `y=x^(4)-6x^(2)+4` where the tangent line is horizontal.

Find the points on the curve y^(2)-4xy=x^(2)+5 for which the tangent is horizontal.

Find the point on the curve y=x^(4)-6x^(3)+13x10x+5, where the tangent is parallel to the line.y=2x .Show that two of these points have the same tangent.

Find the points on the curve y^(2) - 4xy = x^(2) + 5 for which the tangent is horizontal.

Find the point on the curve y=3x^2-4x+5 where the tangent line is parallel to the line y=-22x+7

Find points on the curve given by y=x^(3)-6x^(2) + x+3 where the tangents are parallel to the line y=x+5

Find the points on the curve 4x^(2) + 9y^(2) = 1 , where the tangents are perpendicular to the line 2y + x = 0.